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Welsh word Nadolig comes from Latin nascor, Proto-Italic *gnātos, and later Latin natus (Son (of plants) growth, growing. Son, birth, age, years.)
nascor (Latin)
I am a number of years old. I am born, begotten. I arise, proceed. I grow, spring forth.
*gnātos (Proto-Italic)
natus (Latin)
Son (of plants) growth, growing. Son, birth, age, years.
natalis (Latin)
Anniversary. Birthday Natal (of one's birth).
natalicius (Latin)
Birth, birthday (attributive).
natolic (Old Welsh)
Nadolig (Welsh)
Christmas.